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Brianna went into a bakery and bought 2 cookies and 3 brownies, costing a total of $9.50. Nevaeh went into the same bakery and bought 10 cookies and 6 brownies, costing a total of $20.50. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.

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Answer:

it's very simple, use linear question

cookie price =0.25 and brownie price =3

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The system of equations that could be used to determine the price of each cookie and brownie:

[tex]2x + 3y = 9.50 ; 10x + 6y = 20.50[/tex]

Given:

  • Brianna bought 2 cookies and 3 brownies, costing a total of $9.50.
  • Nevaeh bought 10 cookies and 6 bronies, costing a total of $20.50.

To find:

The system of equations that could be used to determine the price of each cookie and brownie.

Solution:

Let the price of a single cookie be x

Let the price of a single brownie be y.

  • Number of cookies bought by Brianna = 2
  • Price of 2 cookies = 2x
  • Number of brownies bought by Brianna = 3
  • Price of 3 brownies = 3y

The total price of cookies and brownies paid by Brianna = $9.50

[tex]2x + 3y = 9.50...[1][/tex]

  • Number of cookies bought by Nevaeh = 10
  • Price of 10 cookies = 10x
  • Number of brownies bought by Nevaeh = 6
  • Price of 6 brownies = 6y

The total price of cookies and brownies paid by Nevaeh = $20.50

[tex]10x + 6y = 20.50...[2][/tex]

The system of equations that could be used to determine the price of each cookie and brownie:

[tex]2x + 3y = 9.50 ; 10x + 6y = 20.50[/tex]

Learn more about the system of equations here:

brainly.com/question/9351049?referrer=searchResults

brainly.com/question/17120105?referrer=searchResults

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